Elliptic curve search results

Results (12 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
54760.c1	54760f2	54760.c	54760f	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{11} \cdot 5^{2} \cdot 37^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$36.04225392$	$1$		$1$	$1960704$	$2.456356$	$4705274/25$	$0.84181$	$5.08556$	$1$	$[0, 1, 0, -2245616, -1290032480]$	\(y^2=x^3+x^2-2245616x-1290032480\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[(-8140733987180769/2990089, 20850860618287595921984/2990089)]$	$1$
54760.d1	54760b2	54760.d	54760b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 37^{2} \)	\( 2^{11} \cdot 5^{2} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$5.827927312$	$1$		$1$	$52992$	$0.650897$	$4705274/25$	$0.84181$	$3.09985$	$1$	$[0, 1, 0, -1640, -26000]$	\(y^2=x^3+x^2-1640x-26000\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[(4525/2, 304325/2)]$	$1$
109520.u1	109520e2	109520.u	109520e	$2$	$2$	\( 2^{4} \cdot 5 \cdot 37^{2} \)	\( 2^{11} \cdot 5^{2} \cdot 37^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$1$	$1$		$1$	$3921408$	$2.456356$	$4705274/25$	$0.84181$	$4.78178$	$1$	$[0, -1, 0, -2245616, 1290032480]$	\(y^2=x^3-x^2-2245616x+1290032480\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[ ]$	$1$
109520.x1	109520g2	109520.x	109520g	$2$	$2$	\( 2^{4} \cdot 5 \cdot 37^{2} \)	\( 2^{11} \cdot 5^{2} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$1.855999699$	$1$		$3$	$105984$	$0.650897$	$4705274/25$	$0.84181$	$2.91468$	$1$	$[0, -1, 0, -1640, 26000]$	\(y^2=x^3-x^2-1640x+26000\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[(16, 60)]$	$1$
273800.m1	273800m2	273800.m	273800m	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 37^{2} \)	\( 2^{11} \cdot 5^{8} \cdot 37^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$1$	$16$	$2$	$1$	$47056896$	$3.261074$	$4705274/25$	$0.84181$	$5.20311$	$1$	$[0, -1, 0, -56140408, -161141779188]$	\(y^2=x^3-x^2-56140408x-161141779188\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[ ]$	$1$
273800.n1	273800n2	273800.n	273800n	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 37^{2} \)	\( 2^{11} \cdot 5^{8} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$8.596038383$	$1$		$1$	$1271808$	$1.455616$	$4705274/25$	$0.84181$	$3.47266$	$1$	$[0, -1, 0, -41008, -3167988]$	\(y^2=x^3-x^2-41008x-3167988\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[(-8939/9, 26848/9)]$	$1$
438080.h1	438080h2	438080.h	438080h	$2$	$2$	\( 2^{6} \cdot 5 \cdot 37^{2} \)	\( 2^{17} \cdot 5^{2} \cdot 37^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$0.804862483$	$1$		$7$	$847872$	$0.997471$	$4705274/25$	$0.84181$	$2.92379$	$1$	$[0, 1, 0, -6561, 201439]$	\(y^2=x^3+x^2-6561x+201439\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[(39, 80)]$	$1$
438080.q1	438080q2	438080.q	438080q	$2$	$2$	\( 2^{6} \cdot 5 \cdot 37^{2} \)	\( 2^{17} \cdot 5^{2} \cdot 37^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$1$	$1$		$1$	$31371264$	$2.802929$	$4705274/25$	$0.84181$	$4.59163$	$1$	$[0, 1, 0, -8982465, 10311277375]$	\(y^2=x^3+x^2-8982465x+10311277375\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[ ]$	$1$
438080.dh1	438080dh2	438080.dh	438080dh	$2$	$2$	\( 2^{6} \cdot 5 \cdot 37^{2} \)	\( 2^{17} \cdot 5^{2} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$1$	$4$	$2$	$1$	$847872$	$0.997471$	$4705274/25$	$0.84181$	$2.92379$	$1$	$[0, -1, 0, -6561, -201439]$	\(y^2=x^3-x^2-6561x-201439\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[ ]$	$1$
438080.dp1	438080dp2	438080.dp	438080dp	$2$	$2$	\( 2^{6} \cdot 5 \cdot 37^{2} \)	\( 2^{17} \cdot 5^{2} \cdot 37^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$95.57445326$	$1$		$1$	$31371264$	$2.802929$	$4705274/25$	$0.84181$	$4.59163$	$1$	$[0, -1, 0, -8982465, -10311277375]$	\(y^2=x^3-x^2-8982465x-10311277375\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[(-575026931924954350798583792474792815844936/17904707128695364395, 29471687261363832627792410369099470274411417819701215973515463/17904707128695364395)]$	$1$
492840.y1	492840y2	492840.y	492840y	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 37^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$1$	$1$		$1$	$1271808$	$1.200203$	$4705274/25$	$0.84181$	$3.08311$	$1$	$[0, 0, 0, -14763, 687238]$	\(y^2=x^3-14763x+687238\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[ ]$	$1$
492840.bz1	492840bz2	492840.bz	492840bz	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 37^{2} \)	\( 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 37^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1480$	$12$	$0$	$1$	$25$	$5$	$1$	$47056896$	$3.005661$	$4705274/25$	$0.84181$	$4.73597$	$1$	$[0, 0, 0, -20210547, 34810666414]$	\(y^2=x^3-20210547x+34810666414\)	2.3.0.a.1, 40.6.0.f.1, 296.6.0.?, 740.6.0.?, 1480.12.0.?	$[ ]$	$1$

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